Some integrals ocurring in a topology change problem

TL;DR

This paper advances a quantum cosmology model that permits space topology changes by performing detailed calculations on various compact hyperbolic manifolds, extending prior estimations.

Contribution

It provides explicit calculations for integrals related to topology change in quantum cosmology on specific hyperbolic manifolds, enhancing the original model.

Findings

Explicit integral calculations for Weeks and Thurston spaces

Extension of topology change models to hyperbolic manifolds

Improved understanding of quantum cosmology topology transitions

Abstract

In a paper presented a few years ago, De Lorenci et al. showed, in the context of canonical quantum cosmology, a model which allowed space topology changes (Phys. Rev. D 56, 3329 (1997)). The purpose of this present work is to go a step further in that model, by performing some calculations only estimated there for several compact manifolds of constant negative curvature, such as the Weeks and Thurston spaces and the icosahedral hyperbolic space (Best space).